Vector Functions

vector-functions.js

/*
* @description Gets the euclidian distance of two vectors
* @param {Array.<number>} v1 - a vector of numbers
* @param {Array.<number>} v2 - a vector of numbers
* @returns {number} A float
*/
function euclidian(v1, v2) {
	const squares = v1.map((el, idx) => {
    const subtr = el - v2[idx];
    return Math.pow(subtr, 2)
    
  })
  return Math.sqrt(squares.reduce((acc, curr) => acc + curr, 0));
}

/*
* Normalizes a vector
* @param {Array.<number>} vector - a list of numbers
* @returns {Array.<number>} a list of floats
*/
function normalize(vector) {
  const squares = vector.map(el => Math.pow(el, 2))
  const sum = squares.reduce((acc, cur) => acc + cur, 0)
  const sqrRoot = Math.sqrt(sum)

  const normies = vector.map(el => el / sqrRoot)
  return normies
}

/*
* @description Gets the pNorm of a vector
* @param {Array.<number>} vector - a vector of numbers
* @param {number} int - an integer to indicate the normalization
* @returns {number} A float
*/
function pNorm(vector, int) {
  const exps = vector.map((el) => Math.pow(el, int));
  const sums = exps.reduce((acc, cur) => acc + cur, 0);
  return Math.pow(sums, 1/int);
}

/*
* @description Gets the dot product of two vectors
* @param {Array.<number>} v1 - a vector of numbers
* @param {Array.<number>} v2 - a vector of numbers
* @returns {Array.<number>} An array of floats
*/
function dotProduct(v1, v2) {
 return v1
   .map((el, idx) => el * v2[idx])
   .reduce((acc, cur) => acc + cur, 0);
}

/*
* @description Gets the cosine similarity of two vectors
* @param {Array.<number>} v1 - a vector of numbers
* @param {Array.<number>} v2 - a vector of numbers
* @returns {number} 
*/
function cosineSimilarity(v1, v2) {
 const p1 = pNorm(v1);
 const p2 = pNorm(v2);

 const prod = dotProd(v1, v2);

 return (prod / (p1 * p2));
}